Scattering of Electromagnetic Waves, Numerical Simulations

PREFACE xix
 
CHAPTER 1 MONTE CARLO SIMULATIONS OF LAYERED MEDIA 1
 
1 One-Dimensional Layered Media with Permittivity Fluctuations 2
 
1.1 Continuous Random Medium 2
 
1.2 Generation of One-Dimensional Continuous Gaussian Random Medium 4
 
1.3 Numerical Results and Applications to Antarctica 5
 
2 Random Discrete Layering and Applications 8
 
References and Additional Readings 12
 
CHAPTER 2 INTEGRAL EQUATION FORMULATIONS AND BASIC NUMERICAL METHODS 13
 
1 Integral Equation Formulation for Scattering Problems 14
 
1.1 Surface Integral Equations 14
 
1.2 Volume Integral Equations 17
 
1.3 Dyadic Green's Function Singularity and Electrostatics 19
 
2 Method of Moments 23
 
3 Discrete Dipole Approximation (DDA) 27
 
3.1 Small Cubes 28
 
3.2 Radiative Corrections 29
 
3.3 Other Shapes 31
 
4 Product of Toeplitz Matrix and Column Vector 37
 
4.1 Discrete Fourier Transform and Convolutions 38
 
4.2 FFT for Product of Toeplitz Matrix and Column Vector 42
 
5 Conjugate Gradient Method 46
 
5.1 Steepest Descent Method 46
 
5.2 Real Symmetric Positive Definite Matrix 48
 
5.3 General Real Matrix and Complex Matrix 52
 
References and Additional Readings 57
 
CHAPTER 3 SCATTERING AND EMISSION BY A PERIODIC ROUGH SURFACE 61
 
1 Dirichlet Boundary Conditions 62
 
1.1 Surface Integral Equation 62
 
1.2 Floquet's Theorem and Bloch Condition 63
 
1.3 2-D Green's Function in 1-D Lattice 64
 
1.4 Bistatic Scattering Coefficients 67
 
2 Dielectric Periodic Surface: T-Matrix Method 68
 
2.1 Formulation in Longitudinal Field Components 69
 
2.2 Surface Field Integral Equations and Coupled Matrix Equations 74
 
2.3 Emissivity and Comparison with Experiments 81
 
3 Scattering of Waves Obliquely Incident on Periodic Rough Surfaces: Integral

"this graduate textbook presents numerical simulation techniques and results for electromagnetic wave scattering in random media and rough surfaces..." ( SciTech Book News , Vol. 25, No. 3, September 2001)